Lie products in incidence algebras |
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| Authors: | E. Spiegel |
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| Affiliation: | a Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA |
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| Abstract: | We give conditions when a strictly upper triangular element of an incidence algebra over a commutative ring is the Lie commutator of two elements of the incidence algebra, one of which is strictly upper triangular. In particular, it follows that this is the case for the ring of n × n upper triangular matrices, where n is either finite or infinite. |
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| Keywords: | Incidence algebras Lie product Lie commutator Subject Classification: Primary 47B47 Secondary 17B99 |
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